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Nothing like a goal post being moved during development. 'Just a little alteration' they said, they have no idea.....
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Lots of simple online tools suitable for programmers and technicians: www.techytools.net
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Simple way to work out a number in binary:
1. Look at the number you're trying to work out, lets say I'm trying to figure out the binary value of 473

2. From right to left, write down the number 1, then double it: 2, then double that: 4, then double that: 8.....keep doing this until the number you write down is more than the number you're working with.
So I would write down: 512 256 128 64 32 16 8 4 2 1

3. Now, from left to right, mark underneath the current number either a 1 or a 0. Put 1 if the number will fit into the value you're trying to work out or a 0 if it wont.
So my first scribble now would be:
512 256 128 64 32 16 8 4 2 1
0
This is because 512 doesn't fit into 473 (the value I'm trying to work out).
what about the next value in the list?
512 256 128 64 32 16 8 4 2 1
0 1
Yes, 256 fits into 473. If the number fits write a 1 underneath and subtract that number away from the original number you're working with:
473 - 256 = 217
The resulting number is what you'll use to check if the next number is the sequence will fit into it.
so:
512 256 128 64 32 16 8 4 2 1
0 1 1
We mark a 1 under 128 as it fits into 217.
Because it fits, take 128 from 217:
217 - 128 = 89
Carry on with this method until you've marked either 1 or 0 under the sequence of numbers you first wrote down.

In this example, 473 should give you:
512 256 128 64 32 16 8 4 2 1
0 1 1 1 0 1 1 0 0 1
Or:
111011001 (if the first number is 0, there's no need to write it down).

An either simpler way to work it out would be to use www.TechyTools.net/page/convert-binary but it's always good to know how to do these things yourself.
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